39868416 has 192 divisors, whose sum is σ = 136281600. Its totient is φ = 11280384.

The previous prime is 39868399. The next prime is 39868421. The reversal of 39868416 is 61486893.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387021 + ... + 387123.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 2^39868416 is an apocalyptic number.

39868416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

39868416 is an abundant number, since it is smaller than the sum of its proper divisors (96413184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39868416 is a wasteful number, since it uses less digits than its factorization.

39868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 39868416 is about 6314.1441225237. The cubic root of 39868416 is about 341.6197682472.

The spelling of 39868416 in words is "thirty-nine million, eight hundred sixty-eight thousand, four hundred sixteen".